Results 21 to 30 of about 102,908 (120)

Minkowski-type and Alexandrov-type theorems for polyhedral herissons

open access: yes, 2002
Classical H.Minkowski theorems on existence and uniqueness of convex polyhedra with prescribed directions and areas of faces as well as the well-known generalization of H.Minkowski uniqueness theorem due to A.D.Alexandrov are extended to a class of ...
A. Cauchy   +20 more
core   +2 more sources

EXISTENCE AND UNIQUENESS THEOREMS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

open access: yesDemonstratio Mathematica, 2000
Summary: The authors study the following Cauchy-type problem for the nonlinear differential equation of fractional order \(\alpha\in \mathbb{C}\), \(\text{Re}(\alpha)> 0\), \[ (D^\alpha_{a+}y)(x)= f[x, y(x)],\quad n-1< \text{Re}(\alpha)\leq n,\quad n= -[-\text{Re}(\alpha)], \] \[ (D^{\alpha- k}_{a+} y)(a+)= b_k,\quad b_k\in \mathbb{C},\quad k= 1,2 ...
Kilbas, A. A.   +2 more
openaire   +2 more sources

An Exact Perturbative Existence and Uniqueness Theorem

open access: yes, 2022
Significant changes: the paper has been corrected and made much shorter, simpler, and more streamlined.
openaire   +2 more sources

Seifert Manifolds

open access: yes, 2001
A Seifert manifold is a 3-dimensional manifold with a circle action. It is a circle bundle (with singularities) over a 2-dimensional orbifold. In this note, we discuss a generalized Seifert manifolds.
Lee, K. B., Raymond, Frank
core   +2 more sources

Reflected Backward Stochastic Difference Equations and Optimal Stopping Problems under g-expectation [PDF]

open access: yes, 2013
In this paper, we study reflected backward stochastic difference equations (RBSDEs for short) with finitely many states in discrete time. The general existence and uniqueness result, as well as comparison theorems for the solutions, are established under
An, Lifen, Cohen, Samuel N., Ji, Shaolin
core  

Non-Abelian Vortices in Supersymmetric Gauge Field Theory via Direct Methods

open access: yes, 2011
Vortices in supersymmetric gauge field theory are important constructs in a basic conceptual phenomenon commonly referred to as the dual Meissner effect which is responsible for color confinement.
A. Actor   +59 more
core   +1 more source

On Uniqueness of Boundary Blow-up Solutions of a Class of Nonlinear Elliptic Equations

open access: yes, 2007
We study boundary blow-up solutions of semilinear elliptic equations $Lu=u_+^p$ with $p>1$, or $Lu=e^{au}$ with $a>0$, where $L$ is a second order elliptic operator with measurable coefficients.
Bandle C.   +14 more
core   +1 more source

A UNIFIED EXISTENCE AND UNIQUENESS THEOREM FOR STOCHASTIC EVOLUTION EQUATIONS [PDF]

open access: yesBulletin of the Australian Mathematical Society, 2009
AbstractAn existence and uniqueness theorem for mild solutions of stochastic evolution equations is presented and proved. The diffusion coefficient is handled in a unified way which allows a unified theorem to be formulated for different cases, in particular, of multiplicative space–time white noise and trace-class noise.
Jentzen, A., Kloeden, P. E.
openaire   +2 more sources

The fan theorem and unique existence of maxima

open access: yesJournal of Symbolic Logic, 2006
AbstractThe existence and uniqueness of a maximum point for a continuous real–valued function on a metric space are investigated constructively. In particular, it is shown, in the spirit of reverse mathematics, that a natural unique existence theorem is equivalent to the fan theorem.
Berger, Josef   +2 more
openaire   +3 more sources

Existence and uniqueness theorems for solutions of McKean--Vlasov stochastic equations

open access: yes, 2020
New weak and strong existence and weak and strong uniqueness results for multi-dimensional stochastic McKean--Vlasov equations are established under relaxed regularity conditions.
Mishura, Yuliya S.   +1 more
core  

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